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Salman deposits ₹ 1000 every month in a recurring deposit account for 2 years. If he receives ₹ 26000 on maturity, find: i. the total interest Salman earns. ii. the rate of interest.

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Question

Salman deposits ₹ 1000 every month in a recurring deposit account for 2 years. If he receives ₹ 26000 on maturity, find:

  1. the total interest Salman earns.
  2. the rate of interest.
Sum
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Solution

Here,

Monthly amount P = ₹ 1000 per month

n = 2 × 12 = 24 months

and Maturity value = ₹ 26000

i. Total Interest = Maturity value – Deposited value

= ₹ 26000 – ₹ 1000 × 24

= ₹ 26000 – ₹ 24000

= ₹ 2000

ii. `S.I. = P xx (n(n  + 1))/2 xx 1/12 xx r/100`

`2000 = 1000 xx (24 xx 25)/2 xx 1/12 xx r/100`

2000 = 250r

∴ `r = 2000/250`

= 8% P.a.

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Chapter 2: Banking - Exercise 2A [Page 23]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 2 Banking
Exercise 2A | Q 13. | Page 23
R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 2 Banking
EXERCISE 2 | Q 17. | Page 20

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